A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.

How could the function be rewritten to identify the daily growth rate of the population?

What is the approximate daily growth rate?



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Function Daily growth rate

P=25,000(1.00951365)365t 0.003%
P=25,000(1+0.0095)t365 0.0012% P=25,000(1+0.00951365)365t 0.95%

Respuesta :

A growth function has the following form.

[tex]P=P_0(1+ \frac{r}{n} )^{nt}[/tex]

where [tex]P_0[/tex] = Original amount,
r = annual rate of change,
n = number of periods,
t = time in years

Since the time is in years, we need to convert t into days. We know that 1 year = 365 days. So t years = 365t days. 

So in this case, n = 365, r = 0.0095.

Then the function is rewritten as follows.

[tex]P=25,000(1+ \frac{0.0095}{365})^{365t}[/tex]

The daily growth rate would be [tex] \frac{0.0095}{365}= 0.00003 = 0.003%[/tex]

Answer:heres the correct answer, hope this helps everybody

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Step-by-step explanation:

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